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Your daughter's daughter is your granddaughter, and you would be her grandmother or grandfather.
Your brother's daughter is your niece and his granddaughter is your great niece.
You are their aunt or aunt by marriage.
Your daughter and your brother's child are first cousins to each other.Your daughter and your brother's granddaughter are first cousins, once removed, to each other. The "once removed" refers to the fact that they are separated by one generation if you count from their common ancestor, your parents.
nothing
You and your father's cousin's granddaughter are 2nd cousins once removed.
a relationship between brothers should be sacred and good....
Cousins
Your grandmother's sister's daughter's daughter is your great aunt's granddaughter and your second cousin. You can have a relationship with anyone your want. You can't marry your first cousin in may (but not all) US jurisdictions, but no jurisdiction forbids marriage between second cousins.
She is your first cousin.
2nd cousin
Your grandfather's great great granddaughter could be:your granddaughteryour great niecefirst cousin, twice removed